All categories

3 years ago

Ethan buys 4 packs of muffins. He uses a Coupon and saves $2 off the total.

Mathematics

2 answers:

Oksanka [162]3 years ago

7 0

Answer:

B bro its easy math nothing hard

Alja [10]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int

Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}$

By expanding the previous equation:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)$

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

$V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0$

Since there is no accumulation within the tank, expression is simplified to this:

$c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}$

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

$V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}$ , where $c(0) = 0 \frac{pounds}{gallon}$ .

$\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}$

The solution of this equation is:

$c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})$

The salt concentration after 8 minutes is:

$c(8) = 0.166 \frac{pounds}{gallon}$

The instantaneous amount of salt in the tank is:

$m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds$

3 0

3 years ago

PLEASE HELP MEEEEEEEEEEEEEEEEEE!!!!!!!!

victus00 [196]

F = 41
E = 90
D = 49
from D to E is 55
then E to F also known as X = 36.08 or 41.51

6 0

3 years ago

Which of the following functions is graphed below?

kompoz [17]

Answer:

Step-by-step explanation:

vertex is (-3,-4)

so inside the absolute value bars need to be postive 3 and the four has to be -4.

6 0

3 years ago

How do you simplify this –34–23a+16a

Dafna11 [192]

Answer:

-34 -7a

Step-by-step explanation:

–34–23a+16a

Combine like terms

-34 -7a

8 0

3 years ago

Read 2 more answers

What will be the value of median of a moderately asymmetrical distribution? If the mean and mode are 30 and 24 respectively.

sineoko [7]

The mean, the median and the mode are measures of central tendency, and they are related in some many ways, depending on the type of distribution.

The median of the moderately asymmetrical distribution is 26

The given parameters are:

$Mean = 30$

$Mode = 24$

For a moderately asymmetrical distribution, the mean, median and mode are related by the following equation:

$Mode = 3 * Median - 2 * Mean$

Substitute known values

$30= 3 * Median - 2 * 24$

$30= 3 * Median - 48$

Collect like terms

$3 * Median =30+ 48$

$3 * Median =78$

Divide both sides by 3

$Median =26$